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Finding the Fourth Proportional to 7,122.17, 9,812.57 and 4,966.68

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Solution

The fourth proportional to 7,122.17, 9,812.57 and 4,966.68 is: 6,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.17 : 9,812.57 = 4,966.68 : x
  2. Step 2: Convert to fraction form
    7,122.17/9,812.57 = 4,966.68/x
  3. Step 3: Cross multiply
    7,122.17x = 9,812.57 × 4,966.68
  4. Step 4: Simplify right side
    7,122.17x = 48,735,870.33
  5. Step 5: Solve for x
    x = 48,735,870.33/7,122.17
  6. Step 6: Final answer
    x = 6,842.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.